Context : Herbig Ae stars ( HAe ) are the precursors of Vega-type systems and , therefore , crucial objects in planet formation studies . Thus far , only a few disks associated with HAe stars have been studied using millimetre interferometers . Aims : Our aim is to determine the dust evolution and the lifetime of the disks associated with Herbig Ae stars . Methods : We imaged the continuum emission at \sim 3 mm and \sim 1.3 mm of the Herbig Ae/Be stars BD+61154 , RR Tau , VY Mon and LkH \alpha  198 using the Plateau de Bure Interferometer ( PdBI ) . These stars are in the upper end of the stellar mass range of the Herbig Ae stars ( M _ { * } > 3 M _ { \odot } ) . Our measurements were used to complete the Spectral Energy Distribution ( SED ) . The modelling of the SED , in particular the FIR-mm part , allow us to determine the masses and dust properties of these disks . Results : We detected the disks associated with BD+61154 , RR Tau and VY Mon with disk masses of 0.35 M _ { \odot } , 0.05 M _ { \odot } and 0.40 M _ { \odot } respectively . The disk around LkH \alpha  198 was not detected with an upper limit to the disk mass of 0.004 M _ { \odot } . We detected , however , the disks associated with the younger stellar objects LkH \alpha  198–IR and LkH \alpha  198–mm that are located in the vicinity of LkH \alpha  198 . The fitting of the mm part of the SED reveal that the grains in the mid-plane of the disks around BD+61154 , RR Tau and VY Mon have sizes of \sim 1–1000 \mu m. Therefore , grains have not grown to centimetre sizes in these disks yet . Conclusions : These massive ( M _ { * } > 3 M _ { \odot } ) and young ( \sim 1 Myr ) HAe stars are surrounded by massive ( \gtrsim 0.04 M _ { \odot } ) disks with grains of micron-millimetre sizes . Although grain growth is proceeding in these disks , their evolutionary stage is prior to the formation of planetesimals . These disks are less evolved than those detected around T Tauri and Herbig Be stars .